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Let V be the set of 2×2 matrices [\begin{matrix}a_{11}&a_{12}\\ a_{21}&a_{22}\end{matrix}] complex entries such that a_{11}+a_{22}=0. Let W be the set of matrices in I with a_{1},+\overline{a}_{21}=0 . Then, under usual matrix addition and scalar multiplication, which of the following is(are) true? w+3w\} a non zero vector and mension of the vector space (1) Vis a vector space over C (2) W' is a vector space over C (3) Vis a vector space over R Ris (4) Wis a vector space over R?
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Let V be the set of 2×2 matrices [\begin{matrix}a_{11}&a_{12}\\ a_{21}...
The set V is the set of all 2x2 matrices of the form:

\[\begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix}\]

where \(a_{11}\), \(a_{12}\), \(a_{21}\), and \(a_{22}\) are real numbers.
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Let V be the set of 2×2 matrices [\begin{matrix}a_{11}&a_{12}\\ a_{21}&a_{22}\end{matrix}] complex entries such that a_{11}+a_{22}=0. Let W be the set of matrices in I with a_{1},+\overline{a}_{21}=0 . Then, under usual matrix addition and scalar multiplication, which of the following is(are) true? w+3w\} a non zero vector and mension of the vector space (1) Vis a vector space over C (2) W' is a vector space over C (3) Vis a vector space over R Ris (4) Wis a vector space over R?
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Let V be the set of 2×2 matrices [\begin{matrix}a_{11}&a_{12}\\ a_{21}&a_{22}\end{matrix}] complex entries such that a_{11}+a_{22}=0. Let W be the set of matrices in I with a_{1},+\overline{a}_{21}=0 . Then, under usual matrix addition and scalar multiplication, which of the following is(are) true? w+3w\} a non zero vector and mension of the vector space (1) Vis a vector space over C (2) W' is a vector space over C (3) Vis a vector space over R Ris (4) Wis a vector space over R? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let V be the set of 2×2 matrices [\begin{matrix}a_{11}&a_{12}\\ a_{21}&a_{22}\end{matrix}] complex entries such that a_{11}+a_{22}=0. Let W be the set of matrices in I with a_{1},+\overline{a}_{21}=0 . Then, under usual matrix addition and scalar multiplication, which of the following is(are) true? w+3w\} a non zero vector and mension of the vector space (1) Vis a vector space over C (2) W' is a vector space over C (3) Vis a vector space over R Ris (4) Wis a vector space over R? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let V be the set of 2×2 matrices [\begin{matrix}a_{11}&a_{12}\\ a_{21}&a_{22}\end{matrix}] complex entries such that a_{11}+a_{22}=0. Let W be the set of matrices in I with a_{1},+\overline{a}_{21}=0 . Then, under usual matrix addition and scalar multiplication, which of the following is(are) true? w+3w\} a non zero vector and mension of the vector space (1) Vis a vector space over C (2) W' is a vector space over C (3) Vis a vector space over R Ris (4) Wis a vector space over R?.
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